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$2x^4 + 8x^3 + 9x + 81$

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Factor by grouping

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Q.

2x^4 + 8x^3 + 9x + 81

Group Terms: Group terms to look for common factors. $\newline$ Group $2x^4 + 8x^3$ and $9x + 81$ .
Factor First Group: Factor out the greatest common factor from the first group. $\newline$ $2x^3(x + 4)$ is the factored form of $2x^4 + 8x^3$ .
Factor Second Group: Factor out the greatest common factor from the second group. $\newline$ $9(x + 9)$ is the factored form of $9x + 81$ .
Find Common Factor: Look for a common binomial factor between $2x^3(x + 4)$ and $9(x + 9)$ . There is no common binomial factor; the polynomial cannot be factored further.

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